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3- The following trapezoids are similar. What is the value of x ?

33- The following trapezoids are similar. What is the value of x x ?

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Q. 33- The following trapezoids are similar. What is the value of x x ?
  1. Identify sides and set up proportion: Identify the corresponding sides of the similar trapezoids and set up a proportion. Let's say the sides of the first trapezoid are aa and bb, and the sides of the second trapezoid are cc and xx. Set up the proportion ab=cx\frac{a}{b} = \frac{c}{x}.
  2. Plug in known values: Plug in the known values for aa, bb, and cc. Assuming we know the values for aa, bb, and cc, we substitute them into the proportion. For example, if a=4a = 4, b=8b = 8, and c=6c = 6, then 48=6x.\frac{4}{8} = \frac{6}{x}.
  3. Solve for x: Solve for x by cross-multiplying.\newlineCross-multiply to get 4x=6×84x = 6 \times 8.
  4. Complete calculation: Complete the calculation to find xx.4x=484x = 48, so x=484x = \frac{48}{4}.x=12x = 12.

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